[((-12³)*8²-25*(-16)+15³)]/4

asked by guest
on Mar 19, 2025 at 1:09 pm



You asked:

Evaluate the expression: −123⋅82−25⋅−16+1534\frac{-{12}^{3} \cdot {8}^{2} - 25 \cdot -16 + {15}^{3}}{4}

MathBot Answer:

−123⋅82−25⋅−16+1534=−1068174=−26704.25\frac{-{12}^{3} \cdot {8}^{2} - 25 \cdot -16 + {15}^{3}}{4} = - \frac{106817}{4} = -26704.25

−123⋅82−25⋅−16+1534=−1728⋅82−25⋅−16+1534=−1728⋅64−25⋅−16+1534=−110592−25⋅−16+1534=−110592−−400+1534=−110192+1534=−110192+33754=−1068174\begin{aligned}\frac{-{12}^{3} \cdot {8}^{2} - 25 \cdot -16 + {15}^{3}}{4}&=\frac{-1728 \cdot {8}^{2} - 25 \cdot -16 + {15}^{3}}{4}\\&=\frac{-1728 \cdot 64 - 25 \cdot -16 + {15}^{3}}{4}\\&=\frac{-110592 - 25 \cdot -16 + {15}^{3}}{4}\\&=\frac{-110592 - -400 + {15}^{3}}{4}\\&=\frac{-110192 + {15}^{3}}{4}\\&=\frac{-110192 + 3375}{4}\\&=\frac{-106817}{4}\end{aligned}

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